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23709811104 = 253372560039
BaseRepresentation
bin10110000101001101…
…110000000110100000
32021012101012012101000
4112011031300012200
5342024202423404
614520411312000
71466360032500
oct260515600640
967171165330
1023709811104
11a067630011
12471844b600
13230b155135
14120cc9ba00
1593b7be339
hex5853701a0

23709811104 has 144 divisors (see below), whose sum is σ = 80444145600. Its totient is φ = 6774219648.

The previous prime is 23709811091. The next prime is 23709811133. The reversal of 23709811104 is 40111890732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237684 + ... + 322355.

It is an arithmetic number, because the mean of its divisors is an integer number (558639900).

Almost surely, 223709811104 is an apocalyptic number.

23709811104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23709811104 is an abundant number, since it is smaller than the sum of its proper divisors (56734334496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23709811104 is a wasteful number, since it uses less digits than its factorization.

23709811104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560072 (or 560051 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 23709811104 in words is "twenty-three billion, seven hundred nine million, eight hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 560039 1120078 1680117 2240156 3360234 3920273 4480312 5040351 6720468 7840546 8960624 10080702 11760819 13440936 15121053 15681092 17921248 20161404 23521638 26881872 27441911 30242106 31362184 35282457 40322808 47043276 53763744 54883822 60484212 62724368 70564914 80645616 82325733 94086552 105847371 109767644 120968424 125448736 141129828 161291232 164651466 188173104 211694742 219535288 241936848 246977199 282259656 329302932 376346208 423389484 439070576 483873696 493954398 564519312 658605864 740931597 846778968 878141152 987908796 1129038624 1317211728 1481863194 1693557936 1975817592 2634423456 2963726388 3387115872 3951635184 5927452776 7903270368 11854905552 23709811104